the sum of two rational numbers is 17/18 If one of the numbers is 5/24 find the other number

Answers

Answer 1

Step-by-step explanation:

x + y = 17/18

x = 5/24

5/24 + y = 17/18

to bring both fractions to the same denominator (I see it is 72, but let's do it formally correct for you to learn), we look for the LCM, the lowest common multiple of both.

for this we split both numbers into their prime factors and then build the the combination of the longest chains per prime factor :

24 = 2×2×2×3

18 = 2×3×3

the LCM (and the new denominator) is then

2×2×2×3×3 = 8×9 = 72

so,

15/72 + y = 68/72

y = 53/72

53 is a prime number, so the fraction cannot be further refined.


Related Questions

write the following equations in the statement form...

1) 2a + 7 =15

pls ans fast but as statement form​

Answers

Answer:

4 or 2 times unknown number added with 7 it gives 15

Step-by-step explanation:

2a+7=15

2a=15-7

2a=8

a=4

Answer:

2a+7=15

2a=15-7

2a=8

2a/2=8/2

a=4

Dana filled the container with 3.5 liters of water. Her mother used 0.75 liters of water for cooking and 1.25 liters for a drink. How much water was left in the container?

Answers

Step-by-step explanation:

3.5 liters were originally in it.

then 0.75 liters were taken out.

that left 2.75 liters.

then 1.25 liters were taken out.

that left 1.5 liters in the container.

the perimeter of an equilateral triangle is 14.4 cm. Find out the length of the side of that triangle in decimal fraction​

Answers

Answer:

4.8

Step-by-step explanation:

Not sure if this is what you're asking but because it is equilateral each side is the same. So you divide 14.4 by 3, to get 4.8.

I don’t really understand this, if you don’t mind please explain.

Answers

Answer:

Roman is wrong because 6/31 is bigger than 9/47

Step-by-step explanation:

no.

i want you to BRING OUT THAT AWESOME CALCULATOR RIGHT NOW! I DONT CARE IF ITS ON YOUR COMPUTER or even an ol fashioned one right in your hands

ok now enter 6 and then divide by (division sign), and then 31. and press Enter or equal sign. now notice that we get  A SUPER LONG NUMBER like this

0.19354838....

DO THE SAME THING WITH 9 divided by 47!!

0.19148936....

ok notice. take a look at the third number from the decimal point for each result. they are different. for some SILLY REASON, Roman decided to ignore the rest of the numbers.

6/31 is bigger than 9/47!!!!

1/2 divided by 1/8 in simplest form
Will give brainliest and 5 star rating plus thanks plz help quickly

Answers

Answer:

maybe 4

Step-by-step explanation:

Answer:

So 1/2 divided by 1/8 in simplest form is 4

Step-by-step explanation:

[tex]\frac{1}{2}/\frac{1}{8}[/tex]

You use the rule of Keep Change Flip when dividing fractions

You keep the 1/2

Change the division sign to multiply

Flip 1/8 to 8/1

[tex]\frac{1}{2} * \frac{8}{1}[/tex]

Now you have to multiply [tex]\frac{1*8}{2*1} = \frac{8}{2}[/tex]

Simplify by factoring by 2 [tex]\frac{8}{2} = \frac{4}{1} =4[/tex]

Jerry eats one-fourth of a pecan pie. Sally eats
one-fifth of the same pie. Rose comes home from
school and eats two-tenths of the same pie. How
much of the pie has been eaten?

Answers

Answer:

13/20  or .65

Step-by-step explanation:

1/4 + 1/5 + 2/10  = Total amount eaten

Find a common denominator  is   20

1/4 =  5/20

1/5 =  4/20

2/10 = 4/20

           13/20

Help ME ASAP

Zach solved the problem 124.8 / 24 = 5. Complete the following model with partial products to check Zach’s work with multiplication.

Part A
Drag values to the boxes to complete the partial products. Not all choices will be used.

{ 0.4 }
{ 0.8 }
{ 2 }
{ 4 }
{ 8 }
{ 10 }
{ 20 }
{ 100 }

The product for A=
The product for B =
The product for C =
The product for D =

Part B
Choose the words to complete the statement
Zach's work is ______
because the total of the partial products is _______ as the dividend.

Answers

The partial products in Zach's work are the result of multiplying each digit

in turn based on their place values.

The given problem is  [tex]\dfrac{124.8}{24} = 5[/tex]

Part A

The values to be placed in the boxes are presented as follows;

[tex]\begin{array}{|c|c|c|}&5&0.2\\&&\\20&\underline{100}&\underline{4}\\&&\\4&\underline{20}&\underline{0.8}\end{array}\right][/tex]

The total of the partial product is 100 + 20 + 4 + 0.8 = 124.8 = The dividend

Part B

The completed statement is; Zach's work is correct because the total of

the partial product is the same as the dividend.

Learn more here:

https://brainly.com/question/18613539

help help Please help​

Answers

Answer:

Rises 1 and runs -5

Step-by-step explanation:

The slope is 1/-5

before going on the last part of her journey. Hannah needed to rest and eat alot of the food. she ate 2 7/12kg of meat and another 4/12kg of fruits how much food did she eat in total?​

Answers

Answer: 2 11/12 kg

Step-by-step explanation:

add the fractions and the the two(2)

ALSO THIS KNE HELPLL

Answers

Your answer is C your x intersect is 2 and your y intersect is -3

Help me on this, please?

Answers

Answer:

angle 6 is 117

angle 7 is 63

Step-by-step explanation:

I WILL GIVE BRAINLIEST!! PLS HELP

Answers

Answer:

BC is congruent to EC by definition of bisect.

<ABE is congruent to <BED by alternate interior angles.

<ACB is congruent to <ECD by vertical angle theorem.

Triangle ABC is congruent to triangle DEC by ASA congruence theorem

Answer:

Ooook. One thing at a time

C is the midpoint of AD and BE: The two segments bisects each other.

Being the midpoint AC≅CD and BC ≅CE.

The triangles are congruent by SSS.

Side note: there are more information than needed. Only the first line (the congruence between the two angles) and the fact that C is the midpoint of BE would be enough to prove the congruence of the triangles. Funnily enough, the second line alone is not enough to prove it tho.

PLS I NEED HELP WITH THIS

Answers

Answer:

  1/10

Step-by-step explanation:

The fraction 3/5 can be rewritten as one that has 10 as its denominator.

  [tex]\dfrac{7}{10}+\left(-\dfrac{3}{5}\right)=\dfrac{7}{10}-\dfrac{6}{10}=\dfrac{7-6}{10}=\boxed{\dfrac{1}{10}}[/tex]

A runner wants to run a total of 42 miles. She wants to run the same number of miles each day. Which numbers of miles can she run each day: 3,4,5, or 6? How many days will it take her to run the 42 miles? Explain.​

Answers

Answer:

3 or 6 miles; If she runs 3 miles each

Step-by-step explanation:

Answer:

3 or 6 miles; If she runs 3 miles each

Step-by-step explanation:

8y is a ........... in the............ 7 x + 8y

Answers

Answer:

Eight is a coefficient in the equation 7x+8y

A Science book has 428 pages, of which 47% are on biology, 28% on Chemistry and the remainder on Physics. How many pages on Physics are there?

Answers

Answer:

107 pages.

Step-by-step explanation:

100 - 47 - 28 = 25% are on Physics.

Number of pages on physics = 0.25 * 428

= 107.

Answer:

There are 107 pages devoted to physics.

Step-by-step explanation:

The number of pages on bio is 0.47(428) = 201 (rounded up from 201.16);

the number of pages for on chem is 0.28(428) = 120 (rounded up from 119.84), and so the total number of pages devoted to bio and chem is

201 + 120, or 321.

Subtracting this subtotal from the book's 428 pages yields 107.

There are 107 pages devoted to physics.

for f(x)=8x+8, find f(x) when x=5
A:-32
B:56
C:104
D:48

Answers

Answer:

D. 48

Step-by-step explanation:

f(x)=8x+8

f(x)=40+8

f(x)=48

What's the length of an arc with a central angle of 100° and a radius of 2 inches?

A) 10pi/9 inches
B) 5pi/3 inches
C) 100pi/3 inches
D)40pi/3 inches

Will make brainly who answers correctly.

Answers

3.49 inches
Step-by-step explanation:
2π(2)*100/360

Use the distributive property to remove the parentheses.

5(y-5)

Answers

Answer:

=5y-25

Step-by-step explanation:

5 times y would be 5y and 5 times -5 would be -25

Solve for x

x+0.15x=3.45

Answers

Answer:

thanks for the points new comer you will get use to it

-16=m/5 -18 prove m=10

Answers

Answer:

[tex]-16 = \frac{m}{5} - 18\\2 = \frac{m}{5}\\10 = m\\[/tex]

Step-by-step explanation:

Given the equation [tex]-16 = \frac{m}{5} - 18[/tex] isolate [tex]m[/tex]

 1.  The first is sum both sides by 18

   [tex]-16 + 18= \frac{m}{5} - 18 + 18\\2 = \frac{m}{5}[/tex]

 2. The second is multiply both sides by [tex]5[/tex]

   [tex]5 \cdot 2 =5 \cdot \frac{m}{5}\\10 = m[/tex]

So of this way you can proof that [tex]m = 10[/tex]

4. Solve the equation.
5n + 1
1
8
2
n=
(type the fraction as a/b with no spaces)

Answers

Answer:

=1187n

Step-by-step explanation:

5n+1182n=?

=1187n

If x+4 Is a Factor Of The Polynomial x³-x²-14x+24 ,Then Find Other Factors.​

Answers

Answer:

(x - 3) and (x - 2)

Step-by-step explanation:

Using the method of long division to divide the polynomial by x + 4

               

                   x² - 5x + 6

                 -------------------------------

x + 4   |  x³ - x² - 14x + 24

             x³ + 4x²

             ---------------------------

                  - 5x² - 14x + 24

                   - 5x² - 20x

              -------------------------------

                               6x + 24

                               6x + 24

                --------------------------------

                              0        0

The quotient is x² - 5x +  6 = (x - 2)(x - 3)

x³ - x² - 14x + 24 = (x - 2)(x - 3)(x + 4) ← in factored form

 

          |

If there 365 days in a year then how meany days in 2 years.

Answers

Answer:

730.

Step-by-step explanation:

Do 365 x 2.

730.

There are 730 days in 2 years.

I hope this helped at all.

What is the range of f(x)?

Answers

Answer:

{ f(x)| -∞ < f(x) ≤ 4 }

Step-by-step explanation:

The range of a function is the interval of every y-value represented on the function.  Since the highest this function goes on the y-axis is to y=4, we know that the upper limit of the range is 4, which is inclusive because the function actually reaches this value.  The function also appears to go down indefinitely on the right side, so the lower limit is -∞, which is non-inclusive because we will never reach that value.

The range is -∞ < f(x) ≤ 4

Laura wants to place a flowerpot every 3/4 meters along the path from the gate to the main entrance of her home the path is 12 meters long how many flowerpots will she need

Answers

Answer:

16 pots

Step-by-step explanation:

Laura wants to place a pot every 3/4 (0.75)m

The length she wants to cover is 12m

So all we must do is divide

1) 12/0.75 (I converted the fraction to a decimal cause its easier)

2) 12/0.75 = 16

3) which means for each 3/4 there will be one pot so there is 16 pots in total

22 divided by a number s in algebraic expressions

Answers

Answer:

22 divided by a number s

Step-by-step explanation:

[tex] \frac{22}{s} [/tex]

Graph the equation 3x-5y=15

Answers

Answer:

sorry don't know but thanks for the coins bro

Step-by-step explanation:

because im broke and need answers to man i going to use the coin for good thanks again find somebody else

Answer:

5y= 3x-15

This is the equation of the graph in slope intercept form: y=3/5x-3

Here is the graph for it:

given m||n, determine the value of x (4x-7) (3x+9)

Answers

Step-by-step explanation:

7×4-=28-×3×9=27×28-=756-

which of the following is the reciprocal of 5

Answers

Answer:

C

Step-by-step explanation:

The reciprocal is always the number flipped over.

E.g. reciprocal of 9 is 1/9 and the reciprocal of 1/9 is 9

Answer:

C. 1/5

Step-by-step explanation:

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